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Russian Mathematical Surveys, 2006, Volume 61, Issue 6, Pages 1101–1166
DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370 (Mi rm5293) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Szemerédi's theorem and problems on arithmetic progressions

I. D. Shkredov

M. V. Lomonosov Moscow State University
English version PDF (816 kB) Citations (12)
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DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370
Abstract: Szemerédi's famous theorem on arithmetic progressions asserts that every subset of integers of positive asymptotic density contains arithmetic progressions of arbitrary length. His remarkable theorem has been developed into a major new area of combinatorial number theory. This is the topic of the present survey.
Received: 27.03.2006
Russian version:
Uspekhi Matematicheskikh Nauk, 2006, Volume 61, Issue 6(372), Pages 111–178
DOI: https://doi.org/10.4213/rm5293
Bibliographic databases:
Document Type: Article
UDC: 511.218+511.336
MSC: Primary 11B25; Secondary 05D10, 28D05, 28D15
Language: English
Original paper language: Russian
Citation: I. D. Shkredov, “Szemerédi's theorem and problems on arithmetic progressions”, Uspekhi Mat. Nauk, 61:6(372) (2006), 111–178; Russian Math. Surveys, 61:6 (2006), 1101–1166
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v61/i6/p111
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1980
    Russian version PDF:1244
    English version PDF:53
    References:116
    First page:21
     
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